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Simplifying 7(a + -8) + 13 = 4(a + -7) Reorder the terms: 7(-8 + a) + 13 = 4(a + -7) (-8 * 7 + a * 7) + 13 = 4(a + -7) (-56 + 7a) + 13 = 4(a + -7) Reorder the terms: -56 + 13 + 7a = 4(a + -7) Combine like terms: -56 + 13 = -43 -43 + 7a = 4(a + -7) Reorder the terms: -43 + 7a = 4(-7 + a) -43 + 7a = (-7 * 4 + a * 4) -43 + 7a = (-28 + 4a) Solving -43 + 7a = -28 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -43 + 7a + -4a = -28 + 4a + -4a Combine like terms: 7a + -4a = 3a -43 + 3a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 -43 + 3a = -28 + 0 -43 + 3a = -28 Add '43' to each side of the equation. -43 + 43 + 3a = -28 + 43 Combine like terms: -43 + 43 = 0 0 + 3a = -28 + 43 3a = -28 + 43 Combine like terms: -28 + 43 = 15 3a = 15 Divide each side by '3'. a = 5 Simplifying a = 5
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